{ "id": "1309.6239", "version": "v2", "published": "2013-09-24T16:13:43.000Z", "updated": "2014-12-23T21:21:11.000Z", "title": "Arthur Parameters and Fourier coefficients for Automorphic Forms on Symplectic Groups", "authors": [ "Dihua Jiang", "Baiying Liu" ], "comment": "42 pages, revised version", "categories": [ "math.NT", "math.RT" ], "abstract": "We study the structures of Fourier coefficients of automorphic forms on symplectic groups based on their local and global structures related to Arthur parameters. This is a first step towards the general conjecture on the relation between the structure of Fourier coefficients and Arthur parameters given by the first named author in [J14].", "revisions": [ { "version": "v1", "updated": "2013-09-24T16:13:43.000Z", "abstract": "We study the structures of Fourier coefficients of automorphic forms on symplectic groups based on their local and global structures related to Arthur parameters. This is a first step towards the general conjecture on the relation between the structure of Fourier coefficients and Arthur parameters given by the first named author in \\cite{J12}.", "comment": "41 pages", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-12-23T21:21:11.000Z" } ], "analyses": { "subjects": [ "11F70", "22E50", "11F85", "22E55" ], "keywords": [ "fourier coefficients", "arthur parameters", "symplectic groups", "automorphic forms", "first step" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.6239J" } } }